Coordinate Geometry quiz

The point (-3, 5) lies in quadrant:

The coordinates of the origin are:

The abscissa of the point (4, -7) is:

A point on the y-axis has its:

The point (0, -6) lies:

In quadrant IV, the signs of the coordinates are:

The perpendicular distance of the point (5, -8) from the x-axis is:

The Cartesian system was developed by:

Which point lies on the x-axis?

The ordinate of every point on the x-axis is:

In which quadrants do the points (-1, -1) and (7, 9) lie? (2 marks)

Write the coordinates of a point on the x-axis at a distance of 6 units to the left of the origin. (2 marks)

If the point (x, 4) lies on the y-axis, find x. (2 marks)

Find the mirror image of the point (2, 5) in the x-axis. (2 marks)

Write two points whose abscissa and ordinate are equal, one in quadrant I and one in quadrant III. (2 marks)

Name the quadrant in which a point lies if its abscissa is negative and ordinate is positive. (2 marks)

Is the point (3, 2) the same as the point (2, 3)? Explain. (2 marks)

Find the distance between the points (2, 0) and (9, 0). (2 marks)

Write the coordinates of the point where the x-axis and y-axis meet and the name of this point. (2 marks)

The point (k - 2, 5) lies on the y-axis. Find k. (2 marks)

Plot the points A(2, 1), B(7, 1) and C(7, 6). Find the coordinates of point D so that ABCD is a square, and find its area. (3 marks)

Find the area of the triangle formed by the points (0, 0), (8, 0) and (8, 5). (3 marks)

The vertices of a rectangle are (-4, -1), (2, -1), (2, 3) and (-4, 3). Find its length, breadth, perimeter and area. (3 marks)

A point P is 7 units from the y-axis and 3 units from the x-axis and lies in quadrant III. Write its coordinates and the coordinates of its mirror images in both axes. (3 marks)

The table gives values of x and y = 2x + 1: x = -2, -1, 0, 1, 2. Find the corresponding values of y, write the five points and state in which quadrant or axis each lies. (3 marks)

Read the passage and answer the questions. In a classroom, desks are arranged in rows and columns. Taking the teacher's desk as the origin, Riya's desk is at (3, 2), Aman's at (-2, 2) and Meena's at (3, -1), where 1 unit is one desk. (i) In which quadrant is Aman's desk? (ii) How many desks apart are Riya and Meena? (iii) How many desks apart are Riya and Aman? (5 marks)

Read the passage and answer the questions. A rectangular garden is marked on graph paper with corners at (1, 1), (9, 1), (9, 6) and (1, 6), where 1 unit = 1 m. (i) Find the length and breadth of the garden. (ii) Find its area. (iii) A tap is placed at the centre of the garden. Find its coordinates. (5 marks)

Read the passage and answer the questions. A robot starts at the origin. It moves 5 units right, then 3 units up, then 8 units left and then 6 units down. (i) Write its coordinates after each move. (ii) In which quadrant does it finish? (iii) How far is its final position from each axis? (5 marks)

Read the passage and answer the questions. A treasure map has a grid with the well at the origin. The treasure is at (-4, -3). A tree is at (-4, 0) and a rock is at (0, -3). (i) On which axis are the tree and the rock? (ii) In which quadrant is the treasure? (iii) Find the area of the rectangle with vertices at the well, the tree, the treasure and the rock. (5 marks)

Read the passage and answer the questions. A football field is drawn on a grid with the centre spot at the origin. The two goal posts of one goal are at (50, -4) and (50, 4), where 1 unit = 1 m. (i) How wide is the goal? (ii) Write the coordinates of the posts of the opposite goal, assuming symmetry. (iii) What is the distance between the two goals? (5 marks)

Draw the Cartesian plane and explain the terms axes, origin, quadrants, abscissa and ordinate. Plot six points, two on the axes and one in each quadrant. (6 marks)

Plot the points A(-3, 4), B(3, 4), C(3, -2) and D(-3, -2). Join them in order. Name the figure and find its area and perimeter. (6 marks)

Plot the points (0, 0), (4, 0), (4, 3) and (0, 3), and the triangle (0, 0), (4, 0), (0, 3). Find the area of the rectangle and of the triangle, and explain the relation between them. (6 marks)

Make a table of values for y = x - 2 for x = -1, 0, 1, 2, 3, 4. Plot the points and join them. Where does the line cut the x-axis and the y-axis? (6 marks)

Plot the points P(2, 3) and Q(-2, 3), R(-2, -3) and S(2, -3). Explain how each is related to P as a mirror image in an axis or in the origin, and find the area of PQRS. (6 marks)